Trigonometric Ratios Invariance

Trigonometric Ratios Invariance
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2015-01-22 10:39
This example demonstrates the invariance of trigonometric ratios as the size of the triangle changes. Key mathematical concepts include the relationship between angles and sides in a triangle. Using GeoGebra commands such as Angle, Segment, and Intersect, the example dynamically illustrates the invariance of trigonometric ratios. Suitable for students in middle school and above to learn the basic properties of trigonometric functions.

GeoGebra Commands & Parameters

  1. Angle(xAxis, f) → β
  2. Point(xAxis) → B
  3. OrthogonalLine(B, xAxis) → g
  4. Intersect(f, g) → C
  5. Segment(C, B) → b
  6. Intersect(xAxis, yAxis) → A
  7. Segment(A, C) → c
  8. Segment(B, A) → a